Q. 33.6( 259 Votes )

# On comparing the ratios and find out whether the following pair of linearequations are consistent, or inconsistent.

(i)

(ii)

(iii)

(iv)

(v)

Answer :

(i) We get,

=

=

Hence,

=

Therefore , these linear equations will intersect at one point only and have only one possible solution and pair of linear equations is inconsistent.

(ii) We get,

=

=

=

Hence,

=

Therefore, these linear equations are parallel to each other and have no possible solution.

And pair of linear equations is inconsistent.

(iii)

9x – 10y = 14

We get,

=

=

=

Hence,

=

Therefore, these linear equations will intersect each other at one point and have only one possible solution.

And, the pair of linear equations is consistent.

(iv) We get,

=

=

=

Hence,

=

Therefore these pair of lines has the infinite number of solutions. and pair of linear equations is inconsistent

v) We get,

=

=

=

Hence,

=

Therefore these pair of lines have infinite number of solutions and pair of linear equation is consistent.

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Solve the following pair of linear equation by cross - multiplication method:

x + 4y + 9 = 0

5x – 1 = 3y

KC Sinha - Mathematics